According to a photo making its way around Twitter (and Tumblr), Taylor and Conor were spotted in a Nashville restaurant (the Pancake Pantry), tucking into a meal with none other than Taylor’s parents, Andrea and Scott Swift.

That same day, Taylor and Conor were also spotted eating another meal out in Nashville, at Edley’s Bar-B-Que. As Country Vibe reports, only a handful of fans approached Taylor and asked for a picture, and “we [had] to laugh a little when the fans asked Conor to take a picture of them with her, obviously having no idea who he was, or that it would have been a major coup to have him in the picture as well.”

The rumors surrounding Taylor’s alleged romance with Conor Kennedy (the grandson of Robert F. Kennedy, Jr. and Ethel Kennedy) gained attention after photos were published last week showing them getting cozy around Hyannis Port, Mass.

And in the non-romance department, Taylor Swift is scheduled to deliver what she calls some “really cool news” during a live web chat on Monday, Aug. 13 at 7pm ET/4pm PT–news that maybe/probably has to do with her upcoming fourth album.